Results 11 to 20 of about 121,548 (267)
Discrete Dynamics in Nature and Society, 2021 In this paper, the bifurcation, phase portraits, traveling wave solutions, and stability analysis of the fractional generalized Hirota–Satsuma coupled KdV equations are investigated by utilizing the bifurcation theory. Firstly, the fractional generalized
Zhao Li, Peng Li, Tianyong Han
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Exact solutions of the generalized (2+1)-dimensional shallow water wave equation
Results in Physics, 2022 In this paper, we construct abundant exact solutions of generalized (2+1)-dimensional shallow water wave equation via the Hirota bilinear method and test functions. We obtain exact interaction solutions, such as solitons, lump solutions and lump-periodic
Shan Yu, Lin Huang
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Advances in Nonlinear Analysis, 2019 In bounded n-dimensional domains Ω, the Neumann problem for the parabolic ...
Winkler Michael
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Observability of string vibrations
Electronic Journal of Qualitative Theory of Differential Equations, 2014 Transversal vibrations $u=u(x,t)$ of a string of length $l$ under three essential boundary conditions are studied, where $u$ is governed by the Klein--Gordon equation: $$u_{tt}(x,t) = a^2u_{xx}(x,t) - cu(x,t), (x,t) \in [0,l]\times \mathbb{R}; \ 0 < a ...
András Szijártó, Jenő Hegedűs
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On some parabolic problems with measure sources
Moroccan Journal of Pure and Applied Analysis, 2019 One of the recent advances in the investigation of nonlinear parabolic equations with a measure as forcing term is a paper by F. Petitta in which it has been introduced the notion of renormalized solutions to the initial parabolic problem in divergence ...
Abdellaoui Mohammed
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Observation problems posed for the Klein-Gordon equation
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Transversal vibrations $u=u(x,t)$ of a string of length $l$ with fixed ends are considered, where $u$ is governed by the Klein-Gordon equation $$u_{tt}(x,t) = a^2u_{xx}(x,t)+cu(x,t), \qquad (x,t) \in [0,l] \times \mathbb{R}, \quad a>0 ...
András Szijártó, Jenő Hegedűs
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Ultrafunctions and Generalized Solutions [PDF]
Advanced Nonlinear Studies, 2013 Abstract The theory of distributions provides generalized solutions for problems which do not have a classical solution. However, there are problems which do not have solutions, not even in the space of distributions. As model problem you may think of
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Bouncing solutions from generalized EoS
European Physical Journal C: Particles and Fields, 2017 We present an exact analytical bouncing solution for a closed universe filled with only one exotic fluid with negative pressure, obeying a generalized equation of state (GEoS) of the form $$p(\rho )=A\rho +B\rho ^{\lambda }$$ p ( ρ ) = A ρ + B ρ λ ...
F. Contreras, N. Cruz, G. Palma
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Analysis of a conformable generalized geophysical KdV equation with Coriolis effect
Alexandria Engineering Journal, 2023 In this manuscript, we study new solutions of generalized version of geophysical KdV equation which is called generalized perturbed KdV (gpKdV) under time–space conformable operator.
Sayed Saifullah +5 more
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